Levy Processes In Lie Groups (cambridge Tracts In Mathematics)
by Ming Liao /
2004 / English / PDF
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The theory of Levy processes in Lie groups is not merely an extension of the theory of Levy processes in Euclidean spaces. Because of the unique structures possessed by non-commutative Lie groups, these processes exhibit certain interesting limiting properties which are not present for their counterparts in Euclidean spaces. This work provides an introduction to Levy processes in general Lie groups, the limiting properties of Levy processes in semi-simple Lie groups of non-compact type and the dynamical behavior of such processes as stochastic flows on certain homogeneous spacesThe theory of Lvy processes in Lie groups is not merely an extension of the theory of Lvy processes in Euclidean spaces. Because of the unique structures possessed by non-commutative Lie groups, these processes exhibit certain ting limiting properties which are not present for their counterparts in Euclidean spaces. This work provides an introduction to Lvy processes in general Lie groups, the limiting properties of Lvy processes in semi-simple Lie groups of non-compact type and the dynamical behavior of such processes as stochastic flows on certain homogeneous spaces.
